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Finding the Third Proportional to 238,430 and 515,578

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Solution

The third proportional to 238,430 and 515,578 is: 1,114,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,430 : 515,578 = 515,578 : x
  2. Step 2: Convert to fraction form
    238,430/515,578 = 515,578/x
  3. Step 3: Cross multiply
    238,430x = 515,578 × 515,578
  4. Step 4: Simplify right side
    238,430x = 265,820,674,084
  5. Step 5: Solve for x
    x = 265,820,674,084/238,430
  6. Step 6: Final answer
    x = 1,114,879.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.